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Stokes-Darcy Equations
Details
This book offers a thorough guide starting from fundamental functional analysis leading to the coupling of Stokes and Darcy equations, including numerical analysis and scientific computing. Almost all intermediate results are given with complete, rigorous proofs, including theorems which can be rarely found in the literature such that this book serves well as a reference on the topic. Special care is taken to analyze the difficult cases of non-smooth interfaces which are not completely enclosed in one subdomain, i.e, intersect with the outer boundary. This can hardly be found in the literature. Additionally, known and new subdomain iterative methods are introduced, analyzed and applied to standard examples as well as one example motivated by a geoscientific setting.
Thorough guide to the coupling of Stokes and Darcy equations Includes numerical analysis and scientific computing Almost all intermediate results are given with a rigorous proof Special care is taken to analyze the difficult cases of non-smooth interfaces which are not completely enclosed in one subdomain
Inhalt
Notation and preliminary results.- Properties of Sobolev spaces.- Traces.- Subproblems individually.- Stokes-Darcy equations.- Algorithms.- Numerical results.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09783030029036
- Sprache Englisch
- Auflage 1st edition 2019
- Größe H235mm x B155mm x T13mm
- Jahr 2019
- EAN 9783030029036
- Format Kartonierter Einband
- ISBN 3030029034
- Veröffentlichung 11.01.2019
- Titel Stokes-Darcy Equations
- Autor Ulrich Wilbrandt
- Untertitel Analytic and Numerical Analysis
- Gewicht 341g
- Herausgeber Springer International Publishing
- Anzahl Seiten 220
- Lesemotiv Verstehen
- Genre Mathematik